Correo interno
Rogers-Shephard inequality for log-concave functions
Ponente: Hugo Jiménez Gómez
Institución: Universidade Federal de Minas Gerais
Tipo de Evento: Investigación
Institución: Universidade Federal de Minas Gerais
Tipo de Evento: Investigación
| Cuándo |
29/09/2015 de 15:00 a 16:00 |
|---|---|
| Dónde | Salón Graciela Salicrup |
| Agregar evento al calendario |
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We prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex bodies. The original inequalities provide an optimal relation between the volume of a convex body and the volume of several symmetrizations of the body, such as, its difference body. We characterize the equality cases in all these inequalities. Our method is based on the extension of the notion of a convolution body of two convex sets to any pair of log-concave functions and the study of some geometrical properties of these new sets.
Trabajo conjunto con: D. Alonso-Gutierrez, B. Gonzalez and R. Villa